Look at Ivan's check register. Ivan spent [tex]\$158.29[/tex] on groceries. He then transferred [tex]\$250[/tex] to his savings account.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Check & Date & Transaction & \begin{tabular}{c} [tex]$(-)$[/tex] \\ Debit \end{tabular} & [tex]$\checkmark$[/tex] & [tex]$(+)$[/tex] Deposit & Balance \\
\hline
& & Open Account & & & & 500.00 \\
\hline
001 & [tex]$2 / 7$[/tex] & 123 Flowers & 32.75 & & & 467.25 \\
\hline
& [tex]$2 / 13$[/tex] & Paycheck & & & 318.54 & 785.79 \\
\hline
002 & [tex]$2 / 18$[/tex] & Groceries & A & & B & C \\
\hline
& [tex]$2 / 19$[/tex] & Transfer & D & & E & F \\
\hline
\end{tabular}

The letter [tex]\square[/tex] represents where the amount of [tex]\$158.29[/tex] should be written.
The letter [tex]\square[/tex] represents where the amount of [tex]\$250[/tex] should be written.



Answer :

Alright Ivan, let's methodically go through each transaction step by step and fill in the check register with the missing amounts.

1. Opening Balance:
- The balance starts at \[tex]$500.00. 2. First transaction on 2/7 - Payment for Flowers: - Debit: \$[/tex]32.75.
- New balance calculation: \[tex]$500.00 (initial balance) - \$[/tex]32.75 (flowers) = \[tex]$467.25. Therefore, the balance after this transaction is \$[/tex]467.25.

3. Second transaction on 2/13 - Paycheck Deposit:
- Deposit: \[tex]$318.54. - New balance calculation: \$[/tex]467.25 (current balance) + \[tex]$318.54 (paycheck) = \$[/tex]785.79.

Therefore, the balance after this transaction is \[tex]$785.79. 4. Third transaction on 2/18 - Groceries: - Debit: \$[/tex]158.29 (grocery expense).
- New balance calculation: \[tex]$785.79 (current balance) - \$[/tex]158.29 (groceries) = \[tex]$627.50. Therefore, the new balance (C) after groceries is \$[/tex]627.50, and the value of A (groceries expense) is \[tex]$158.29. 5. Fourth transaction on 2/19 - Transfer to Savings: - Debit: \$[/tex]250.00 (transfer expense).
- New balance calculation: \[tex]$627.50 (current balance) - \$[/tex]250.00 (transfer) = \[tex]$377.50. Therefore, the new balance (F) after the transfer is \$[/tex]377.50, and the value of D (transfer amount) is \$250.00.

To summarize and fill in the gaps in the check register:

[tex]\[ \begin{array}{|c|c|c|c|c|c|c|} \hline Check & Date & Transaction & (-)Debit & \checkmark & (+) Deposit & Balance \\ \hline & & Open Account & & & & 500.00 \\ \hline 001 & 2 / 7 & 123 Flowers & 32.75 & & & 467.25 \\ \hline & 2 / 13 & Paycheck & & & 318.54 & 785.79 \\ \hline 002 & 2 / 18 & Groceries & 158.29 & & & 627.50 \\ \hline & 2 / 19 & Transfer & 250.00 & & & 377.50 \\ \hline \end{array} \][/tex]

We have also identified:
- [tex]\(A = 158.29\)[/tex]
- [tex]\(B = \)[/tex]
- [tex]\(C = 627.50\)[/tex]
- [tex]\(D = 250.00\)[/tex]
- [tex]\(E = \)[/tex]
- [tex]\(F = 377.50\)[/tex]